reconstruction_hho.cc
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#include "rheolef.h"
using namespace rheolef;
using namespace std;
#include "sinusprod.h"
#include "diffusion_isotropic.h"
int main(int argc, char**argv) {
environment rheolef (argc, argv);
geo omega (argv[1]);
string Pkd = (argc > 2) ? argv[2] : "P0",
Pld = (argc > 3) ? argv[3] : Pkd;
space Xh (omega, Pld),
Mh (omega["sides"], Pkd);
size_t k = Xh.degree(), l = Mh.degree(), d = omega.dimension();
check_macro(l == k-1 || l == k || l == k+1,
"invalid (k,l) = ("<<k<<","<<l<<")");
space Xhs(omega, "P"+itos(k+1)+"d"),
Zh (omega, "P0"),
Yh = Xhs*Zh;
trial u(Xh), lambda(Mh), x(Yh);
test v(Xh), mu (Mh), y(Yh);
auto us = x[0], zeta = x[1];
auto vs = y[0], xi = y[1];
integrate_option iopt;
iopt.invert = true;
form inv_m = integrate (u*v, iopt);
form ms = integrate (lambda*mu);
field lh = integrate(u_exact(d)*v);
field kh = integrate(u_exact(d)*mu);
field uh = inv_m*lh;
field lambda_h(Mh);
problem pms (ms);
pms.solve (kh, lambda_h);
form inv_as = integrate (dot(grad_h(us),a(d)*grad_h(vs)) + us*xi
+ vs*zeta, iopt);
field lhs = integrate (dot(grad_h(uh),a(d)*grad_h(vs)) + uh*xi
+ on_local_sides((lambda_h-uh)
*dot(normal(),a(d)*grad_h(vs))));
field xh = inv_as*lhs;
dout << catchmark("us") << xh[0];
}
lh
field lh(Float epsilon, Float t, const test &v)
Definition: burgers_diffusion_operators.icc:25
field
see the field page for the full documentation
form
see the form page for the full documentation
geo
see the geo page for the full documentation
problem
see the problem page for the full documentation
rheolef::catchmark
see the catchmark page for the full documentation
Definition: catchmark.h:67
rheolef::environment
see the environment page for the full documentation
Definition: environment.h:115
rheolef::integrate_option
see the integrate_option page for the full documentation
Definition: integrate_option.h:125
rheolef::integrate_option::invert
bool invert
Definition: integrate_option.h:168
rheolef::std
Definition: vec_expr_v2.h:402
rheolef::dout
odiststream dout(cout)
see the diststream page for the full documentation
Definition: diststream.h:430
space
see the space page for the full documentation
test
see the test page for the full documentation
trial
see the test page for the full documentation
diffusion_isotropic.h
Tensor diffusion – isotropic case.
mkgeo_ball.d
int d
Definition: mkgeo_ball.sh:154
mkgeo_ball.a
int a
Definition: mkgeo_ball.sh:151
mkgeo_contraction.mu
mu
Definition: mkgeo_contraction.sh:193
rheolef
This file is part of Rheolef.
Definition: compiler_eigen.h:37
rheolef::dot
rheolef::std enable_if ::type dot const Expr1 expr1, const Expr2 expr2 dot(const Expr1 &expr1, const Expr2 &expr2)
dot(x,y): see the expression page for the full documentation
Definition: vec_expr_v2.h:415
rheolef::grad_h
std::enable_if< details::is_field_convertible< Expr >::value,details::field_expr_v2_nonlinear_terminal_field< typename Expr::scalar_type,typename Expr::memory_type,details::differentiate_option::gradient >>::type grad_h(const Expr &expr)
grad_h(uh): see the expression page for the full documentation
Definition: field_expr_terminal.h:949
rheolef::on_local_sides
std::enable_if< details::is_field_expr_v2_variational_arg< Expr >::value,details::field_expr_quadrature_on_sides< Expr > >::type on_local_sides(const Expr &expr)
on_local_sides(expr): see the expression page for the full documentation
Definition: field_expr_quadrature.h:321
rheolef::integrate
std::enable_if< details::is_field_expr_v2_nonlinear_arg< Expr >::value &&! is_undeterminated< Result >::value, Result >::type integrate(const geo_basic< T, M > &omega, const Expr &expr, const integrate_option &iopt, Result dummy=Result())
see the integrate page for the full documentation
Definition: integrate.h:202
rheolef::itos
std::string itos(std::string::size_type i)
itos: see the rheostream page for the full documentation
rheolef::normal
details::field_expr_v2_nonlinear_terminal_function< details::normal_pseudo_function< Float > > normal()
normal: see the expression page for the full documentation
Definition: field_expr_terminal.h:439
main
int main(int argc, char **argv)
Definition: reconstruction_hho.cc:30
rheolef.h
rheolef - reference manual
sinusprod.h
The sinus product function.
lambda
Definition: yield_slip_circle.h:34
u
Definition: leveque.h:25
u_exact
g u_exact
Definition: taylor_exact.h:26
u
Float u(const point &x)
Definition: transmission_error.cc:26